Pith Number

pith:KZIC4GJR

pith:2014:KZIC4GJRNWTB4RRYOZL5OAXV5A

not attested not anchored not stored refs pending

Finiteness conditions for graph algebras over tropical semirings

Johann A. Makowsky, Nadia Labai

arxiv:1405.2547 v1 · 2014-05-11 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZIC4GJRNWTB4RRYOZL5OAXV5A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:52:05.269792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56502e19316da61e46387657d702f5e83b0bac8d4d736fdaf30e7b3b749431db

Aliases

arxiv: 1405.2547 · arxiv_version: 1405.2547v1 · doi: 10.48550/arxiv.1405.2547 · pith_short_12: KZIC4GJRNWTB · pith_short_16: KZIC4GJRNWTB4RRY · pith_short_8: KZIC4GJR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KZIC4GJRNWTB4RRYOZL5OAXV5A \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 56502e19316da61e46387657d702f5e83b0bac8d4d736fdaf30e7b3b749431db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6164d252f6eb9bb8206cad1e621625a9a0bc205e4b02ae5eff1364b22e2f96f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-11T16:23:23Z",
    "title_canon_sha256": "8c38a60860ecbfbd0197576e370c1abfb53a92412d03f02af1a4a82cd7ebf914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2547",
    "kind": "arxiv",
    "version": 1
  }
}